112112112000 has 256 divisors, whose sum is σ = 424746017280. Its totient is φ = 25625548800.

The previous prime is 112112111983. The next prime is 112112112121. The reversal of 112112112000 is 211211211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169167 + ... + 502833.

It is an arithmetic number, because the mean of its divisors is an integer number (1659164130).

Almost surely, 2^112112112000 is an apocalyptic number.

112112112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212373008640).

112112112000 is an abundant number, since it is smaller than the sum of its proper divisors (312633905280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112112112000 is an equidigital number, since it uses as much as digits as its factorization.

112112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333706 (or 333684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 112112112000 its reverse (211211211), we get a palindrome (112323323211).

The spelling of 112112112000 in words is "one hundred twelve billion, one hundred twelve million, one hundred twelve thousand".